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stich3 [128]
3 years ago
13

Which statement is true about the graphs of the two lines y= -8x-5/4 and y= 1/8x+4/5?

Mathematics
1 answer:
deff fn [24]3 years ago
4 0

Answer:

The lines are perpendicular to each other because -8 and \frac{1}{8} are opposite reciprocals of each other.

Step-by-step explanation:

The  first line has equation y=-8x-\frac{5}{4}.

The slope of this equation is -8.

The second equation is y=\frac{1}{8}x+\frac{4}{5}

The slope of this equation is \frac{1}{8}

The two slopes are negative reciprocals of each other.

This means that the two lines are perpendicular.

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Find the equation of the line with slope 3/7 and that passes through the point (14, 0). Write your answer in the form y = mx + b
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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = 3/7

Point (14, 0)

<u>Step 2: Find y-intercept </u><em><u>b</u></em>

  1. Substitute:                    0 = 3/7(14) + b
  2. Multiply:                        0 = 6 + b
  3. Isolate <em>b</em>:                       -6 = b
  4. Rewrite:                         b = -6

<u>Step 3: Write linear equation</u>

y = 3/7x - 6

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